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Finding the Fourth Proportional to 494,421.56, 739,601.94 and 394,776.32

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Solution

The fourth proportional to 494,421.56, 739,601.94 and 394,776.32 is: 590,543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,421.56 : 739,601.94 = 394,776.32 : x
  2. Step 2: Convert to fraction form
    494,421.56/739,601.94 = 394,776.32/x
  3. Step 3: Cross multiply
    494,421.56x = 739,601.94 × 394,776.32
  4. Step 4: Simplify right side
    494,421.56x = 291,977,332,138.06
  5. Step 5: Solve for x
    x = 291,977,332,138.06/494,421.56
  6. Step 6: Final answer
    x = 590,543.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.